They're useful for quantitaive data because they are used to list number faster, not give a categorical response
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Can the median and mode be used to describe both categorical data and numerical data
The measures can be either quantitative or qualitative, or a mixture of both.
It can be used to describe continuous or discreet data but not categorical or ordered data, unless that data is also numercal which is very unlikely
It depends on the design it can be both
A qualitative variable is a variable that has categorized values and the difference cannot be measured. A quantitative variable is a variable that consist of ordinary values and the difference can be measured. Depending on the type of class rank it can be both qualitative as quantitative.